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Finding the Fourth Proportional to 111,160.50, 166,690.35 and 47,950.80

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Solution

The fourth proportional to 111,160.50, 166,690.35 and 47,950.80 is: 71,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,160.50 : 166,690.35 = 47,950.80 : x
  2. Step 2: Convert to fraction form
    111,160.50/166,690.35 = 47,950.80/x
  3. Step 3: Cross multiply
    111,160.50x = 166,690.35 × 47,950.80
  4. Step 4: Simplify right side
    111,160.50x = 7,992,935,634.78
  5. Step 5: Solve for x
    x = 7,992,935,634.78/111,160.50
  6. Step 6: Final answer
    x = 71,904.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.